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# If x = 1- 3t and y = 2t - 1, then for what value of t does x

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Math Expert
Joined: 02 Sep 2009
Posts: 45455
If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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24 Sep 2012, 04:56
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If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

Practice Questions
Question: 47
Page: 158
Difficulty: 550

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Math Expert
Joined: 02 Sep 2009
Posts: 45455
Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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24 Sep 2012, 04:57
2
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Expert's post
SOLUTION

If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

Since $$x = y$$, then $$1- 3t= 2t - 1$$ --> $$5t=2$$ --> $$t=\frac{2}{5}$$.

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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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24 Sep 2012, 05:18
1
KUDOS
1-3t = 2t-1
-> t= 2/5

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Manager
Joined: 12 Mar 2012
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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24 Sep 2012, 08:45
1
KUDOS
Bunuel wrote:

If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

We are given expressing of x and y in terms of t.
Making both of these equal as x = y

1-3t=2t-1
=> 2 = 5t
=> t = 1/5

Hence D
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Math Expert
Joined: 02 Sep 2009
Posts: 45455
Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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28 Sep 2012, 04:31
SOLUTION

If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

Since $$x = y$$, then $$1- 3t= 2t - 1$$ --> $$5t=2$$ --> $$t=\frac{2}{5}$$.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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10 Dec 2012, 04:19
1
KUDOS
$$1- 3t = 2t - 1$$
$$2 = 5t$$
$$t = \frac{2}{5}$$

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Math Expert
Joined: 02 Sep 2009
Posts: 45455
If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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13 Dec 2013, 02:46
1
KUDOS
Expert's post
All OG13 questions are here: http://gmatclub.com/forum/the-official- ... 43450.html
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Manager
Joined: 26 May 2013
Posts: 96
Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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13 Dec 2013, 11:17
since you are asked to solve for the value at which x = y , set the equations equal to each other and solve.

Your answer should be 2/5, you can plug it back into the original equations to double check if you're not certain.
Manager
Joined: 07 Apr 2014
Posts: 119
Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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10 Sep 2014, 09:13
Bunuel wrote:
If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

Practice Questions
Question: 47
Page: 158
Difficulty: 550

equate x=y

1-3t=2t-1

5t=2

t=2/5
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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30 May 2016, 05:17
Bunuel wrote:
If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

We are given x = 1 – 3t and y = 2t – 1, and we need to determine the value for t when x = y. We should notice that both x and y are already in terms of t. Thus, we can substitute 1 – 3t for x and 2t – 1 for y in the equation x = y. This gives us:

1 – 3t = 2t – 1

2 = 5t

2/5 = t

The answer is D.
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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27 Jan 2018, 07:25
1
KUDOS
x=y ==> so 1-3t = 2t-1 ==> t = 2/5
Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x   [#permalink] 27 Jan 2018, 07:25
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# If x = 1- 3t and y = 2t - 1, then for what value of t does x

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